Given two vectors `bar(A)=hat i-2hat j-3hat k` and `bar(B)=4hat i-2hat j+6hat k` .The angle made by `(bar(A)+bar(B))` with the X -axis is

Given two vectors vec(A) = -hat(i) + 2hat(j) - 3hat(k) and vec(B) = 4hat(i) - 2hat(j) + 6hat(k) . The angle made by (A+B) with x-axis is :

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

If bar(P)=hat i+hat j+hat k,bar(Q)=2hat i-hat j-hat k , then bar(P)-bar(Q) is

Given two vectors A = -4hat(i) + 4hat(j) + 2hat(k) and B = 2hat(i) - hat(j) - hat(k) . The angle made by (A+B) with hat(i) + 2hat(j) - 4hat(k) is :

The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

If bar(a)=3hat i-3hat j-4hat k, bar(b)=hat i+2hat j+hat k and bar(c)=3hat i-hat j-2hat k , then [bar(a) bar(b) bar(c)] =

Let bar(a)=4hat i+3hat j-hat k,bar(b)=5hat i+2hat j+2hat k,bar(c)=2hat i-2hat j)-3hat k and bar(d)=4hat i-4hat j+3hat k; prove that bar(b)-bar(a) and bar(d)-bar(c) are parallel and find the ratio of their moduli.

If bar(A)=2hat i+3hat j+6hat k and bar(B)=3hat i-6hat j+2hat k ,then a vector perpendicular to both bar(A) and bar(B) has magnitude K times that of (6hat i+2hat j-3hat k) .Then K is equal to

If bar(a)=2hat i+2hat j+hat k and bar(b)=hat i-hat j-chat k .If angle between bar(a) and bar(b) is 37^(0) .The value of c is (take, cos37^(0)=(4)/(5)